Wall laws for viscous fluids near rough surfaces

In this paper, we review recent results on wall laws for viscous fluids near rough surfaces, of small amplitude and wavelength ε. When the surface is “genuinely rough”, the wall law at first order is the Dirichlet wall law: the fluid satisfies a “no-slip” boundary condition on the homogenized sur...

Full description

Bibliographic Details
Main Authors: Dalibard Anne-Laure, Bucur Dorin, Gérard-Varet David
Format: Article
Language:English
Published: EDP Sciences 2012-09-01
Series:ESAIM: Proceedings and Surveys
Online Access:http://dx.doi.org/10.1051/proc/201237003